Maximum Principles In Differential Equations

By D. Abend. 2016

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Partial Differential Equations of an Epidemic Model with Spatial Diffusion (2014, background): “By the comparison principle [11], we have S(x, t) ≤ S 1 (t),”
Persistence versus extinction under a climate change in mixed environments (2014, background): “The time-periodic dependent reaction has been previously investigated in various frameworks, the interested reader are referred to [14],[19], [20],[23].”
Spreading speeds for a two-species competition-diffusion system (2018, background): “This lemma is a consequence of both a comparison theorem for cooperative systems (applied here to (s,−r)), which can be found in [23], and the Phragmèn-Lindelöf principle, also demonstrated in [23].”
A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay (2018, background): “Proof The proof follows using arguments in [37].”